Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Make use of GCF Calculator to quickly find the Greatest Common Factor of numbers 3057, 3063 i.e. 3 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 3057 and 3063 is 3.
GCF(3057,3063) = 3
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 3057
3 | 3057 |
1019 | 1019 |
1 |
Prime factors of 3057 are 3,1019. Prime factorization of 3057 in exponential form is:
3057 = 31×10191
Prime Factorization of 3063
3 | 3063 |
1021 | 1021 |
1 |
Prime factors of 3063 are 3,1021. Prime factorization of 3063 in exponential form is:
3063 = 31×10211
∴ So by taking common prime factors GCF of 3057 and 3063 is 3
Factors of 3057
List of positive integer factors of 3057 that divides 3057 without a remainder.
1,3,1019,3057
Factors of 3063
List of positive integer factors of 3063 that divides 3063 without a remainder.
1,3,1021,3063
Greatest Common Factor
We found the factors and prime factorization of 3057 and 3063. The biggest common factor number is the GCF number.
So the greatest common factor 3057 and 3063 is 3.
Also check out the Least Common Multiple of 3057 and 3063
(i) The GCF of 3057 and 3063 is associative
GCF of 3057 and 3063 = GCF of 3063 and 3057
1. What is the GCF of 3057 and 3063?
Answer: GCF of 3057 and 3063 is 3.
2. What are the Factors of 3057?
Answer: Factors of 3057 are 1, 3, 1019, 3057. There are 4 integers that are factors of 3057. The greatest factor of 3057 is 3057.
3. What are the Factors of 3063?
Answer: Factors of 3063 are 1, 3, 1021, 3063. There are 4 integers that are factors of 3063. The greatest factor of 3063 is 3063.
4. How to Find the GCF of 3057 and 3063?
Answer:
Greatest Common Factor of 3057 and 3063 = 3
Step 1: Find the prime factorization of 3057
3057 = 3 x 1019
Step 2: Find the prime factorization of 3063
3063 = 3 x 1021
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 3
Step 4: Therefore, the greatest common factor of 3057 and 3063 is 3